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Finding the Fourth Proportional to 597.75, 822.94 and 471.48

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Solution

The fourth proportional to 597.75, 822.94 and 471.48 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 822.94 = 471.48 : x
  2. Step 2: Convert to fraction form
    597.75/822.94 = 471.48/x
  3. Step 3: Cross multiply
    597.75x = 822.94 × 471.48
  4. Step 4: Simplify right side
    597.75x = 387,999.75
  5. Step 5: Solve for x
    x = 387,999.75/597.75
  6. Step 6: Final answer
    x = 649.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.